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Finding the Fourth Proportional to 584.45, 806.56 and 318.91

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Solution

The fourth proportional to 584.45, 806.56 and 318.91 is: 440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.45 : 806.56 = 318.91 : x
  2. Step 2: Convert to fraction form
    584.45/806.56 = 318.91/x
  3. Step 3: Cross multiply
    584.45x = 806.56 × 318.91
  4. Step 4: Simplify right side
    584.45x = 257,220.05
  5. Step 5: Solve for x
    x = 257,220.05/584.45
  6. Step 6: Final answer
    x = 440.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.